You are going to have a swimming pool put your back yard this summer. The dimensions of the pool are going to be 15 ft by 30 ft. There is going to be a concrete walkway around the outside of the pool, but they are not sure how wide it will be. The design of the pool, including the walkway, is shown below.

Answers

Answer 1

The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x

Given that:

[tex]Length = 15[/tex]

[tex]Width = 30[/tex]

Let the width of the walkway be x.

The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):

So, we have:

[tex]Length = 15 + x + x[/tex]

[tex]Length = 15 + 2x[/tex]

[tex]Width = 30 + x + x[/tex]

[tex]Width = 30 + 2x[/tex]

The perimeter (P) of the walkway is then calculated using:

[tex]P = 2 \times (Length + Width)[/tex]

This gives:

[tex]P = 2 \times (15 + 2x + 30 + 2x)[/tex]

Collect like terms

[tex]P = 2 \times (15 + 30+ 2x + 2x)[/tex]

[tex]P = 2 \times (45+ 4x)[/tex]

Open brackets

[tex]P = 2 \times 45+ 2 \times 4x[/tex]

[tex]P = 90+ 8x[/tex]

Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)

Read more about perimeters at:

https://brainly.com/question/6465134

You Are Going To Have A Swimming Pool Put Your Back Yard This Summer. The Dimensions Of The Pool Are

Related Questions

2
614
eft
3.
9m
Please help

Answers

2.

[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]

3.

[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]

por favor sumar 3/4 4/5 7/8

Answers

97/40 = 2 17/40

En decimals: 2.425

n decreased by 35% is 117

find n

show solutions please

Answers

Answer:

According to question, we get the following equation:

n-35% = 117

n-35/100 = 117

(100n-35)/100 = 117 ........... Took LCM

100n-35 = 117*100

100n-35 = 11700

100n = 11700-35

100n = 11665

n = 11665/100

n = 116.65 .......... ANSWER

An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?

Answers

Answer:

well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6

Step-by-step explanation:

so just add 4.2 or 5.6 to hours and you will get you question at what time he left

Maria is 6 years older than her sister Emily. Emily is 15 years old. If M= Maria's age, then the equation M-6=15 would describe the problem. What inverse or opposite operation would you use to solve the equation?

A. Add 6 to both sides
B. Subtract 6 from both sides
C. Multiply both sides by 6
D. Divide both sides by 6

Answers

A. Add 6 to both sides answer is 21

What is the volume of the rectangular prism?
3 in.
4 in.
54 in.
O A
A 12 in.
O
00
24 in 3
o
C
60 in
D. 73, in
in 3
.

Answers

Answer:

71.75 in^3

Step-by-step explanation:

If the values are

3 1/2in 5 1/4in 4in

then multiply all three of them

71.75 in^3

Hope I helped!

Simplify the expression
by combining like terms.
3y2+2y-y2+y

Answers

Answer:

= 3y2-y2+2y+y

= 2y+3y

= 5y

(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)

Answers

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105

the answer is 105. you ignore the ‘+’ and just solve it as 219-114. please mark brainliest!!

hi i need help with this thank you

Answers

Answer: See the diagram below

The table moves up and to the right

=========================================================

Explanation:

The lower right leg will move along that diagonal line shown on the right side.

Since the table is solid and not flexible, all of the other 3 points will move in the same pattern.

What results is what you see in the diagram below. The table moves to the right some distance and up some (other) distance along that diagonal path.

Note how the lower right leg is always on that path, since that path itself is the result of scraping that leg against the floor.

Also, I'm assuming your teacher wants purely a translation and nothing else. That means the table hasn't been rotated in any fashion.

Pls help fast, with steps

Answers

Answer:

answer is D

Step-by-step explanation:

PAR = 25

RPA= 25

PRA= 130

PRQ = 180- 130 = 50

PRQ =PQR = 50

X= 180 +(50 +50) =80

After a price increase of 20% the cost of entry to a museum rose to $25.80. Find the original
entry fee

Answers

Answer:

21.5 dollars

Step-by-step explanation:

Suppose the original price is x, then it became x+ x/100*20=1.2x

1.2x=25.8

x=21.5

how can i solve it?

8=-6n-2n​

Answers

Simply subtract 2n from -6n getting -8n, leaving the equation to be -8n = 8. To solve for N, divide both sides by -8 leaving N to be equal to -1

Answer:

n=-1

Step-by-step explanation:

Writing out the problem

8=-6n-2n

Simplifying "-6n-2n," which is -8n

8=-8n, or -8n=8

-8n=8

Divide both sides by -8

-8n/-8=8/-8

So, therefore, you get n=-1.

Hope this helps! Enjoy your day, and take care!

What Types of Dogs Are These!?!?!??!??!??!??!??
1.
2.
3.
4.
I put this for math so.......... What is 3+-13976?

Answers

I don’t know about dogs.
3+-13976 mean 3-13976
So , the answer is 3-13976= -13973

There are two precalculus sections at a high school. Mr.​ Abel's class has 10 girls and 6 ​boys, while Mr.​ Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a​ girl, what is the probability she is from Mr.​ Abel's class?

Answers

Answer:gggggggggg

Step-by-step explanation:

gggggggggggggggggggggggggggggggggggggg

Convert Decimal to Fraction ​

Answers

Answer:

1. 0.832

832/1000

Can be simplified as

416/500

104/125

2. 1.2

12/10

Can be simplified as

6/5

3. 0.1

1/10

4. 0.459

459/1000

5. 1.51

151/100

6. 0.9

9/10

Which were the required answers

Find the midpoint of the segment

Answers

Answer:

Mid point

x = 7 + (-3)/2. y = -3 + 11/2

x = 7-3/2. y = 8/2

x = 2. y = 4

Midpoint = (2,4).

The midpoint is (2,4)

5+(-2)= ? Please help! I don’t know the answer

Answers

Answer:

It will be 3 because its take away hope this helped

5+(-2)= 3 the answer is 3

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?​

Answers

Answer:

$14.93

Step-by-step explanation:

she works 7+8=15 hours.

she earns in total per day

7×$23.46 + 8×$7.47 = $223.98

on average she makes per hour

223.98 / 15 = $14.93

She make on average 223.98 per hour for the day.

Given that,

She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store.

In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour.

We have to determine,

How much does she make on average per hour for the day.

According to the question,

She usually works at a retail store for 7 hours earn = $23.46 per hour.

She works at a restaurant as a manager for 8 hours = $7.47 per hour

Total number of hours she works = 7hours + 8hours = 15hours

Therefore,

She make on average per hour for the day =

7×$23.46 + 8×$7.47 = $223.98

Hence, she make on average 223.98 per hour for the day.

To know more about Addition click the link given below.

https://brainly.com/question/24442197

The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perimeter. (desperate need of help)

Answers

Answer:

write the expression for the perimeter of the 1st rectangle 6x

write the expression for the perimeter of the 2nd rectangle 4x + 30

write the equation 6x = 4x + 30

x= 15

perimeter = 90

Step-by-step explanation:

The perimeter is adding up all the sides of the rectangle.

So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.

Therefore, the perimeter is

2x + x + 2x + x

or

6x

Similarly with the second rectangles:

(x+12) + (x+3) + (x+12) + (x+3)

Combine like terms

x + x + x + x + 12 + 3 + 12 + 3

4x + 30

Set these two equal to each other because the two perimeters are equal

6x = 4x + 30

Subtract 4x on both sides

2x = 30

Divide by 2 on both sides

x = 15

Check:

6(15) = 4(15) + 30

90 = 60 + 30

90 = 90

The common perimeter is

6*15 = 90 units

can anyone help me solve this function please?

Answers

Answer:

f(-5) = 19

Step-by-step explanation:

f(t) = -3t+4

Let f(t) = 19

19 =  -3t+4

Subtract 4 from each side

19 - 4 =-3t+4-4

15 = -3t

Divide each side by -3

15/-3 = -3t/-3

-5 = t

Answer:

the answer is -5

Step-by-step explanation:

F(t)=-3(t)+4

it told you that F(t) is equal to 19

so -3*-5=15+4=19

The cafe employees 20 staff 12 of them are men what is the percentage of women

PLEASE HELP MEE

Answers

Answer:

40 % are women

Step-by-step explanation:

20 - 12 = 8 / 20

27. Write an expression for the perimeter of the figure as the sum of the
lengths of its sides. Then simplify your answer.

Answers

2(a-b) + a +2b +2c + a - 2c
Simplified is
2a-2b +2a + 2b
Leaves a simple 4a for the total perimeter.

The perimeter of the figure is 4a.

What is the perimeter of a polygon?

The perimeter of a polygon is defined as the addition of the lengths of the polygon's each side.

The perimeter of a polygon = sum of all sides

To determine an expression for the perimeter of the figure as the sum of the lengths of its sides.

The perimeter of the figure as

The perimeter of  the figure = sum of all sides

⇒ 2(a-b) + a +2b +2c + a - 2c

Rearrange the likewise terms in the expression

⇒ 2a - 2b +2a + 2b

Apply the arithmetic operations in the expression

⇒ 4a

Thus, the perimeter of the figure is 4a.

Learn more about the perimeter here:

brainly.com/question/24388271

#SPJ2

4. Separate 77 into two parts so that one part is 4 less than twice as much as the other. Find each part.​

Answers

Answer:

50,27

Step-by-step explanation:

let the parts be x and y

x+y=77

x=2y-4

substitute

2y-4+y=77

3y=77+4

3y=81

y=81/3=27

x=2×27-4=54-4=50

area of square field is 617796cmsquare. find length of its each side.

Answers

Answer:

Answer is 786 cm

Step-by-step explanation:

√617796 =786

Write 0.2 as a fraction in simplest form.

Answers

Answer:

It is 1/5

Step-by-step explanation:

0.2 is a decimal ( tenth value [1/10] )

[tex]0.2 = \frac{2}{10} [/tex]

divide the fraction ( numerator and denominator ) by 2:

[tex] = \frac{2 \div 2}{10 \div 2} \\ \\ = \frac{1}{5} [/tex]

How many HOURS AND MINUTES are in 135 mins? Explain how you found out the answer as you would to a kid in 2ND GRADE. (Use simple words)

Answers

Answer:

There are 2 hours and 15 minutes in 135 minutes

Step-by-step explanation:

We know that 1 hour = 60 minutes, 2 hours is 120 minutes, 3 hours is 180 minutes and so on. What amount of hours is 135 closest too? 2 hours.

Now that we know the amount of hours there is in 135 minutes, we need to find the rest of the minutes. To find this, we need to use subtraction. Subtracting [tex]120[/tex] from [tex]135[/tex] gives us [tex]15[/tex]. So, [tex]135[/tex] minutes is equal to 2 hours and 15 minutes.

Hope this helped you (and others) out! If this answer was too complicated for you, please tell me and I will try to make it more easier to understand!

Choose the expression that represents the fraction one-sixteenth.

A. 1 ÷ 6
B. 1 ÷ 16
C. 16 ÷ 1
D. 6 ÷ 1

Answers

Answer:B. 1 divided by 16

Step-by-step explanation:

i dont know it might be b Or c

just my guess

2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C.y= 6x + 2
D.y + 2x = 6

Answers

Step-by-step explanation:

option C is the answer.

hope it helps

I need help please please please

Answers

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Due today:
At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200 .


Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)

Answers

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

If you want to learn more, you can read:

https://brainly.com/question/1301718

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